A Beautiful Mind

A Beautiful Mind is a really great show. It says a lot, yet at the same time leaves a lot for personal discretion. Well, I dunno wad im tokin bout, but den aiya its jus a great show.

Quotable quotes:

John: I need some kind of confirmation from you.

Alicia: for what? Our love? Let me ask u. how big is the universe?

John: infinitely big.

Alicia: how do you know?

John: according to mathematical calculations and estimates…

Alicia: have you ever seen it for yourself?

John: no…

Alicia: can u prove it?

John: no…

Alicia: then how do you know?

John: I just believe.

Alicia: correct. You don’t know for sure. You just believe. It’s the same for love.

Kinda gay for a single fella like me to spout this but hey its quite true isn’t it? Anyway on to more interesting stuffs haha the nash equilibrium and prisoner’s dilemma. I read up on it and was like wow, this guy sure is smart man!

From Wikipedia, the free encyclopedia.

In game theory, the Nash equilibrium (named after John Nash) is a kind of optimal strategy for games involving two or more players, whereby the players reach an outcome to mutual advantage. If there is a set of strategies for a game with the property that no player can benefit by changing his strategy while the other players keep their strategies unchanged, then that set of strategies and the corresponding payoffs constitute a Nash equilibrium.

Haha Johnny I read that too! Lol. But in the movie how he explained nash equilibrium was funny.

If we the whole bunch of guys go for the hottest girl among a group of girls, only one of us would succeed. There is also a high probability that she would not choose anyone. Chances are then that the rest of us would choose the alternative, ie. The rest of the gals. But, we would not succeed as no one wants to be regarded as second choice. All of us would then lose out, resulting in a lose-lose situation. But if other than considering personal benefit and choosing the best gal, if everybody could at the same time consider for the benefit of the whole group, and choose the other gals, then everyone would benefit and have a partner. That outcome in which everybody benefits in a similar situation is called the nash equilibrium(if im nort wrong la).

From Wikipedia, the free encyclopedia.

The classical prisoner's dilemma (PD) is as follows:

Two suspects are arrested by the police. The police have insufficient evidence for a conviction, and having separated both prisoners, visit each of them and offer the same deal: if one confesses and the other remains silent, the silent accomplice receives the full 10-year sentence and the confessor goes free. If both stay silent, the police can only give both prisoners 6 months for a minor charge. If both confess, they receive a 2 year sentence each.

Its interesting isn’t it? If u were one of the prisoners, which option would u choose? We often meet with similar situations in our daily lives. Even more interesting is the iterated prisoner’s dilemma. You guys should seriously read it up. The strategies that yield the most successful results are amazing, in the sense that they reflect a lot on humans.

Finally, ending with a quote from the great John Nash in the show:

Classes are a waste of time. They dull the mind.